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Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence

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arxiv 1907.12123 v1 pith:WLFNPDVT submitted 2019-07-28 hep-ph

classification hep-ph
keywords kernelsolutionbalitsky-kovchegovcollinearlyequationfoundimpact-parameterimproved
verification ladder T0 review T1 audit T2 compute T3 formal
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The solution to the impact-parameter dependent Balitsky-Kovchegov equation with the collinearly improved kernel is studied in detail. The solution does not present the phenomenon of Coulomb tails at large impact parameters that have affected previous studies. The origin of this behaviour is explored numerically. It is found to be linked to the fact that this kernel suppresses large daughter dipoles. Solutions based on a physics motivated form of the initial condition are used to compute predictions for structure functions of the proton and the exclusive photo- and electroproduction of vector mesons. A reasonable agreement is found when comparing to HERA and LHC data.

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Cited by 3 Pith papers

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  1. Simultaneous Color Glass Condensate fit to deep inelastic scattering and forward hadron production at HERA, RHIC, and the LHC

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    A simultaneous LO CGC/BK fit to HERA DIS and RHIC/LHC forward hadron production reaches χ²/dof≈1, with complementary constraints and RHIC K-factors roughly twice those at the LHC.

  2. Initial condition for the Balitsky-Kovchegov equation at next-to-leading order

    hep-ph 2025-05 conditional novelty 6.0 of 10

    A Bayesian fit to HERA total and charm cross-section data constrains the NLO Balitsky-Kovchegov initial condition and provides posterior samples for uncertainty propagation.

  3. Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Including the proton's finite transverse size in small-x evolution weakens saturation effects compared with impact-parameter-averaged treatments, while lead-target predictions are insensitive to scheme choices once fi...

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